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15242651040 = 2535139228457
BaseRepresentation
bin11100011001000100…
…00110010110100000
31110100021201220100010
432030202012112200
5222204104313130
611000302524520
71046504252601
oct161442062640
943307656303
1015242651040
116512096371
122b54896740
13158bbb7756
14a48549da8
155e32960b0
hex38c8865a0

15242651040 has 96 divisors (see below), whose sum is σ = 48359989440. Its totient is φ = 4035446784.

The previous prime is 15242651023. The next prime is 15242651041. The reversal of 15242651040 is 4015624251.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15242650989 and 15242651007.

It is not an unprimeable number, because it can be changed into a prime (15242651041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47509 + ... + 180948.

It is an arithmetic number, because the mean of its divisors is an integer number (503749890).

Almost surely, 215242651040 is an apocalyptic number.

15242651040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15242651040 is an abundant number, since it is smaller than the sum of its proper divisors (33117338400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15242651040 is a wasteful number, since it uses less digits than its factorization.

15242651040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228614 (or 228606 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 15242651040 in words is "fifteen billion, two hundred forty-two million, six hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 240 278 417 480 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 4448 5560 6672 8340 11120 13344 16680 22240 33360 66720 228457 456914 685371 913828 1142285 1370742 1827656 2284570 2741484 3426855 3655312 4569140 5482968 6853710 7310624 9138280 10965936 13707420 18276560 21931872 27414840 31755523 36553120 54829680 63511046 95266569 109659360 127022092 158777615 190533138 254044184 317555230 381066276 476332845 508088368 635110460 762132552 952665690 1016176736 1270220920 1524265104 1905331380 2540441840 3048530208 3810662760 5080883680 7621325520 15242651040